I have a "number
machine" that always affects in the same way whatever number I put in
it. For example, when I put in 1, the machine gives me 6; when I put in 3,
it gives me10; when I put in 6, it gives me 16; and when I put in 9, it
gives me 22. What will the machine give me if I put in 100?
Solve/Investigate the Problem
I plan to make a function chart
and look for a pattern.
of the Problem
If we remove the (1,6) we will have:
The constant difference on the
top row is 3 and the constant difference on the bottom row is 6. Looking at
the ratio of the change in y to the change in x the slope of my linear
equation would be 2. Next, I worked backwards to determine the y value when
x =0 to be 4. The linear equation is y = 2x + 4.
Author & Contact.